11634840 has 256 divisors, whose sum is σ = 47232000. Its totient is φ = 2519424.

The previous prime is 11634839. The next prime is 11634853. The reversal of 11634840 is 4843611.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612351 + ... + 612369.

It is an arithmetic number, because the mean of its divisors is an integer number (184500).

Almost surely, 2^11634840 is an apocalyptic number.

11634840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11634840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23616000).

11634840 is an abundant number, since it is smaller than the sum of its proper divisors (35597160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11634840 is an equidigital number, since it uses as much as digits as its factorization.

11634840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11634840 is about 3410.9881266284. The cubic root of 11634840 is about 226.5966431144.

The spelling of 11634840 in words is "eleven million, six hundred thirty-four thousand, eight hundred forty".